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Finding the Fourth Proportional to 21,217.79, 31,826.33 and 7,174.82

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Solution

The fourth proportional to 21,217.79, 31,826.33 and 7,174.82 is: 10,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.79 : 31,826.33 = 7,174.82 : x
  2. Step 2: Convert to fraction form
    21,217.79/31,826.33 = 7,174.82/x
  3. Step 3: Cross multiply
    21,217.79x = 31,826.33 × 7,174.82
  4. Step 4: Simplify right side
    21,217.79x = 228,348,153.14
  5. Step 5: Solve for x
    x = 228,348,153.14/21,217.79
  6. Step 6: Final answer
    x = 10,762.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.